Abstract
Through this article, we present the two-loop massless QCD corrections to the production of di-Higgs and di-pseudo-Higgs boson through quark annihilation in the large top quark mass limit. Within dimensional regularisation, we employ the non-anticommuting γ5 and treat it under the Larin prescription. We discover the absence of any additional renormalisation, so-called contact renormalisation, that could arise from the short distance behaviour of two local operators. This finding is in corroboration with the operator product expansion. By examining the results, we discover the lack of similarity in the highest transcendentality weight terms between these finite remainders and that of a pair of half-BPS primary operators in maximally supersymmetric Yang-Mills theory. We need these newly computed finite remainders to calculate observables involving di-Higgs or di-pseudo- Higgs at the next-to-next-to-leading order. We implement the results to a numerical code for further phenomenological studies.
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References
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a New Boson at a Mass of 125 GeV with the CMS Experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
ATLAS and CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s} \) = 7 and 8 TeV, JHEP 08 (2016) 045 [arXiv:1606.02266] [INSPIRE].
CMS collaboration, Observation of \( t\overline{t}H \) production, Phys. Rev. Lett. 120 (2018) 231801 [arXiv:1804.02610] [INSPIRE].
ATLAS collaboration, Observation of Higgs boson production in association with a top quark pair at the LHC with the ATLAS detector, Phys. Lett. B 784 (2018) 173 [arXiv:1806.00425] [INSPIRE].
ATLAS collaboration, Observation of H → \( b\overline{b} \) decays and VH production with the ATLAS detector, Phys. Lett. B 786 (2018) 59 [arXiv:1808.08238] [INSPIRE].
CMS collaboration, Observation of Higgs boson decay to bottom quarks, Phys. Rev. Lett. 121 (2018) 121801 [arXiv:1808.08242] [INSPIRE].
CMS collaboration, Observation of the Higgs boson decay to a pair of τ leptons with the CMS detector, Phys. Lett. B 779 (2018) 283 [arXiv:1708.00373] [INSPIRE].
ATLAS collaboration, Cross-section measurements of the Higgs boson decaying into a pair of τ-leptons in proton-proton collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Rev. D 99 (2019) 072001 [arXiv:1811.08856] [INSPIRE].
CMS collaboration, Evidence for Higgs boson decay to a pair of muons, JHEP 01 (2021) 148 [arXiv:2009.04363] [INSPIRE].
ATLAS collaboration, A search for the dimuon decay of the Standard Model Higgs boson with the ATLAS detector, Phys. Lett. B 812 (2021) 135980 [arXiv:2007.07830] [INSPIRE].
CMS collaboration, Combination of searches for Higgs boson pair production in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 122 (2019) 121803 [arXiv:1811.09689] [INSPIRE].
ATLAS collaboration, Combination of searches for Higgs boson pairs in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Lett. B 800 (2020) 135103 [arXiv:1906.02025] [INSPIRE].
CMS collaboration, Search for nonresonant Higgs boson pair production in final states with two bottom quarks and two photons in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 03 (2021) 257 [arXiv:2011.12373] [INSPIRE].
O.J.P. Eboli, G.C. Marques, S.F. Novaes and A.A. Natale, Twin Higgs boson production, Phys. Lett. B 197 (1987) 269 [INSPIRE].
E.W.N. Glover and J.J. van der Bij, Higgs boson pair production via gluon fusion, Nucl. Phys. B 309 (1988) 282 [INSPIRE].
T. Plehn, M. Spira and P.M. Zerwas, Pair production of neutral Higgs particles in gluon-gluon collisions, Nucl. Phys. B 479 (1996) 46 [Erratum ibid. 531 (1998) 655] [hep-ph/9603205] [INSPIRE].
A. Djouadi, W. Kilian, M. Mühlleitner and P.M. Zerwas, Production of neutral Higgs boson pairs at LHC, Eur. Phys. J. C 10 (1999) 45 [hep-ph/9904287] [INSPIRE].
S. Dawson, S. Dittmaier and M. Spira, Neutral Higgs boson pair production at hadron colliders: QCD corrections, Phys. Rev. D 58 (1998) 115012 [hep-ph/9805244] [INSPIRE].
S. Borowka et al., Higgs Boson Pair Production in Gluon Fusion at Next-to-Leading Order with Full Top-Quark Mass Dependence, Phys. Rev. Lett. 117 (2016) 012001 [Erratum ibid. 117 (2016) 079901] [arXiv:1604.06447] [INSPIRE].
S. Borowka et al., Full top quark mass dependence in Higgs boson pair production at NLO, JHEP 10 (2016) 107 [arXiv:1608.04798] [INSPIRE].
J. Baglio, F. Campanario, S. Glaus, M. Mühlleitner, M. Spira and J. Streicher, Gluon fusion into Higgs pairs at NLO QCD and the top mass scheme, Eur. Phys. J. C 79 (2019) 459 [arXiv:1811.05692] [INSPIRE].
J. Baglio et al., Higgs-Pair Production via Gluon Fusion at Hadron Colliders: NLO QCD Corrections, JHEP 04 (2020) 181 [arXiv:2003.03227] [INSPIRE].
G. Heinrich, S.P. Jones, M. Kerner, G. Luisoni and E. Vryonidou, NLO predictions for Higgs boson pair production with full top quark mass dependence matched to parton showers, JHEP 08 (2017) 088 [arXiv:1703.09252] [INSPIRE].
S. Jones and S. Kuttimalai, Parton Shower and NLO-Matching uncertainties in Higgs Boson Pair Production, JHEP 02 (2018) 176 [arXiv:1711.03319] [INSPIRE].
G. Heinrich, S.P. Jones, M. Kerner, G. Luisoni and L. Scyboz, Probing the trilinear Higgs boson coupling in di-Higgs production at NLO QCD including parton shower effects, JHEP 06 (2019) 066 [arXiv:1903.08137] [INSPIRE].
G. Heinrich, S.P. Jones, M. Kerner and L. Scyboz, A non-linear EFT description of gg → HH at NLO interfaced to POWHEG, JHEP 10 (2020) 021 [arXiv:2006.16877] [INSPIRE].
D.Y. Shao, C.S. Li, H.T. Li and J. Wang, Threshold resummation effects in Higgs boson pair production at the LHC, JHEP 07 (2013) 169 [arXiv:1301.1245] [INSPIRE].
D. de Florian and J. Mazzitelli, Two-loop virtual corrections to Higgs pair production, Phys. Lett. B 724 (2013) 306 [arXiv:1305.5206] [INSPIRE].
D. de Florian and J. Mazzitelli, Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD, Phys. Rev. Lett. 111 (2013) 201801 [arXiv:1309.6594] [INSPIRE].
J. Grigo, K. Melnikov and M. Steinhauser, Virtual corrections to Higgs boson pair production in the large top quark mass limit, Nucl. Phys. B 888 (2014) 17 [arXiv:1408.2422] [INSPIRE].
J. Grigo, J. Hoff and M. Steinhauser, Higgs boson pair production: top quark mass effects at NLO and NNLO, Nucl. Phys. B 900 (2015) 412 [arXiv:1508.00909] [INSPIRE].
D. de Florian et al., Differential Higgs Boson Pair Production at Next-to-Next-to-Leading Order in QCD, JHEP 09 (2016) 151 [arXiv:1606.09519] [INSPIRE].
M. Grazzini et al., Higgs boson pair production at NNLO with top quark mass effects, JHEP 05 (2018) 059 [arXiv:1803.02463] [INSPIRE].
D. De Florian and J. Mazzitelli, Soft gluon resummation for Higgs boson pair production including finite Mt effects, JHEP 08 (2018) 156 [arXiv:1807.03704] [INSPIRE].
Q. Li, Q.-S. Yan and X. Zhao, Higgs Pair Production: Improved Description by Matrix Element Matching, Phys. Rev. D 89 (2014) 033015 [arXiv:1312.3830] [INSPIRE].
P. Maierhöfer and A. Papaefstathiou, Higgs Boson pair production merged to one jet, JHEP 03 (2014) 126 [arXiv:1401.0007] [INSPIRE].
D. de Florian and J. Mazzitelli, Higgs pair production at next-to-next-to-leading logarithmic accuracy at the LHC, JHEP 09 (2015) 053 [arXiv:1505.07122] [INSPIRE].
P. Banerjee, S. Borowka, P.K. Dhani, T. Gehrmann and V. Ravindran, Two-loop massless QCD corrections to the g + g → H + H four-point amplitude, JHEP 11 (2018) 130 [arXiv:1809.05388] [INSPIRE].
M. Spira, Effective Multi-Higgs Couplings to Gluons, JHEP 10 (2016) 026 [arXiv:1607.05548] [INSPIRE].
M. Gerlach, F. Herren and M. Steinhauser, Wilson coefficients for Higgs boson production and decoupling relations to \( \mathcal{O}\left({\alpha}_s^4\right) \), JHEP 11 (2018) 141 [arXiv:1809.06787] [INSPIRE].
L.-B. Chen, H.T. Li, H.-S. Shao and J. Wang, Higgs boson pair production via gluon fusion at N3LO in QCD, Phys. Lett. B 803 (2020) 135292 [arXiv:1909.06808] [INSPIRE].
L.-B. Chen, H.T. Li, H.-S. Shao and J. Wang, The gluon-fusion production of Higgs boson pair: N3LO QCD corrections and top-quark mass effects, JHEP 03 (2020) 072 [arXiv:1912.13001] [INSPIRE].
J. Davies, F. Herren, G. Mishima and M. Steinhauser, Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit, JHEP 01 (2022) 049 [arXiv:2110.03697] [INSPIRE].
A.H. Ajjath et al., Higgs pair production from bottom quark annihilation to NNLO in QCD, JHEP 05 (2019) 030 [arXiv:1811.01853] [INSPIRE].
M.F. Zoller, On the renormalization of operator products: the scalar gluonic case, JHEP 04 (2016) 165 [arXiv:1601.08094] [INSPIRE].
T. Ahmed, W. Bernreuther, L. Chen and M. Czakon, Polarized \( q\overline{q} \) → Z+Higgs amplitudes at two loops in QCD: the interplay between vector and axial vector form factors and a pitfall in applying a non-anticommuting γ5, JHEP 07 (2020) 159 [arXiv:2004.13753] [INSPIRE].
T. Ahmed, A.H. Ajjath, L. Chen, P.K. Dhani, P. Mukherjee and V. Ravindran, Polarised Amplitudes and Soft-Virtual Cross Sections for \( b\overline{b} \) → ZH at NNLO in QCD, JHEP 01 (2020) 030 [arXiv:1910.06347] [INSPIRE].
R.V. Harlander and W.B. Kilgore, Production of a pseudoscalar Higgs boson at hadron colliders at next-to-next-to leading order, JHEP 10 (2002) 017 [hep-ph/0208096] [INSPIRE].
C. Anastasiou and K. Melnikov, Pseudoscalar Higgs boson production at hadron colliders in NNLO QCD, Phys. Rev. D 67 (2003) 037501 [hep-ph/0208115] [INSPIRE].
V. Ravindran, J. Smith and W.L. van Neerven, NNLO corrections to the total cross-section for Higgs boson production in hadron hadron collisions, Nucl. Phys. B 665 (2003) 325 [hep-ph/0302135] [INSPIRE].
T. Ahmed, T. Gehrmann, P. Mathews, N. Rana and V. Ravindran, Pseudo-scalar Form Factors at Three Loops in QCD, JHEP 11 (2015) 169 [arXiv:1510.01715] [INSPIRE].
T. Ahmed et al., Pseudo-scalar Higgs boson production at N3 LOA +N3 LL′, Eur. Phys. J. C 76 (2016) 663 [arXiv:1606.00837] [INSPIRE].
T. Ahmed, M.C. Kumar, P. Mathews, N. Rana and V. Ravindran, Pseudo-scalar Higgs boson production at threshold N3 LO and N3 LL QCD, Eur. Phys. J. C 76 (2016) 355 [arXiv:1510.02235] [INSPIRE].
A. Bhattacharya, M. Mahakhud, P. Mathews and V. Ravindran, Two loop QCD amplitudes for di-pseudo scalar production in gluon fusion, JHEP 02 (2020) 121 [arXiv:1909.08993] [INSPIRE].
M.F. Zoller, OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order, JHEP 07 (2013) 040 [arXiv:1304.2232] [INSPIRE].
A. Djouadi, M. Spira and P.M. Zerwas, Production of Higgs bosons in proton colliders: QCD corrections, Phys. Lett. B 264 (1991) 440 [INSPIRE].
M. Krämer, E. Laenen and M. Spira, Soft gluon radiation in Higgs boson production at the LHC, Nucl. Phys. B 511 (1998) 523 [hep-ph/9611272] [INSPIRE].
K.G. Chetyrkin, B.A. Kniehl and M. Steinhauser, Hadronic Higgs decay to order alpha-S4 , Phys. Rev. Lett. 79 (1997) 353 [hep-ph/9705240] [INSPIRE].
K.G. Chetyrkin, B.A. Kniehl, M. Steinhauser and W.A. Bardeen, Effective QCD interactions of CP odd Higgs bosons at three loops, Nucl. Phys. B 535 (1998) 3 [hep-ph/9807241] [INSPIRE].
S.L. Adler and W.A. Bardeen, Absence of higher order corrections in the anomalous axial vector divergence equation, Phys. Rev. 182 (1969) 1517 [INSPIRE].
G. ’t Hooft and M.J.G. Veltman, Regularization and Renormalization of Gauge Fields, Nucl. Phys. B 44 (1972) 189 [INSPIRE].
C.G. Bollini and J.J. Giambiagi, Dimensional Renormalization: The Number of Dimensions as a Regularizing Parameter, Nuovo Cim. B 12 (1972) 20 [INSPIRE].
P. Breitenlohner and D. Maison, Dimensional Renormalization and the Action Principle, Commun. Math. Phys. 52 (1977) 11 [INSPIRE].
S.A. Larin and J.A.M. Vermaseren, The alpha-S3 corrections to the Bjorken sum rule for polarized electroproduction and to the Gross-Llewellyn Smith sum rule, Phys. Lett. B 259 (1991) 345 [INSPIRE].
D.A. Akyeampong and R. Delbourgo, Dimensional regularization, abnormal amplitudes and anomalies, Nuovo Cim. A 17 (1973) 578 [INSPIRE].
E.B. Zijlstra and W.L. van Neerven, Order alpha-S2 correction to the structure function F3 (x, Q2 ) in deep inelastic neutrino - hadron scattering, Phys. Lett. B 297 (1992) 377 [INSPIRE].
P. Nogueira, Automatic Feynman graph generation, J. Comput. Phys. 105 (1993) 279.
J.A.M. Vermaseren, New features of FORM, math-ph/0010025 [INSPIRE].
C. Studerus, Reduze-Feynman Integral Reduction in C++, Comput. Phys. Commun. 181 (2010) 1293 [arXiv:0912.2546] [INSPIRE].
A. von Manteuffel and C. Studerus, Reduze 2 - Distributed Feynman Integral Reduction, arXiv:1201.4330 [INSPIRE].
K.G. Chetyrkin and F.V. Tkachov, Integration by Parts: The Algorithm to Calculate β-functions in 4 Loops, Nucl. Phys. B 192 (1981) 159 [INSPIRE].
R.N. Lee, Presenting LiteRed: a tool for the Loop InTEgrals REDuction, arXiv:1212.2685 [INSPIRE].
R.N. Lee, LiteRed 1.4: a powerful tool for reduction of multiloop integrals, J. Phys. Conf. Ser. 523 (2014) 012059 [arXiv:1310.1145] [INSPIRE].
R.N. Lee and A.A. Pomeransky, Critical points and number of master integrals, JHEP 11 (2013) 165 [arXiv:1308.6676] [INSPIRE].
T. Gehrmann, L. Tancredi and E. Weihs, Two-loop master integrals for \( q\overline{q} \) → VV: the planar topologies, JHEP 08 (2013) 070 [arXiv:1306.6344] [INSPIRE].
T. Gehrmann, A. von Manteuffel, L. Tancredi and E. Weihs, The two-loop master integrals for \( q\overline{q} \) → VV, JHEP 06 (2014) 032 [arXiv:1404.4853] [INSPIRE].
T. Peraro, FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs, JHEP 07 (2019) 031 [arXiv:1905.08019] [INSPIRE].
O.V. Tarasov, A.A. Vladimirov and A.Y. Zharkov, The Gell-Mann-Low Function of QCD in the Three Loop Approximation, Phys. Lett. B 93 (1980) 429 [INSPIRE].
N.K. Nielsen, Gauge Invariance and Broken Conformal Symmetry, Nucl. Phys. B 97 (1975) 527 [INSPIRE].
V.P. Spiridonov and K.G. Chetyrkin, Nonleading mass corrections and renormalization of the operators m psi-bar psi and g**2(mu nu), Sov. J. Nucl. Phys. 47 (1988) 522 [INSPIRE].
A.L. Kataev, N.V. Krasnikov and A.A. Pivovarov, Two Loop Calculations for the Propagators of Gluonic Currents, Nucl. Phys. B 198 (1982) 508 [Erratum ibid. 490 (1997) 505] [hep-ph/9612326] [INSPIRE].
M.S. Chanowitz, M. Furman and I. Hinchliffe, The Axial Current in Dimensional Regularization, Nucl. Phys. B 159 (1979) 225 [INSPIRE].
T.L. Trueman, Chiral Symmetry in Perturbative QCD, Phys. Lett. B 88 (1979) 331 [INSPIRE].
S.A. Larin, The renormalization of the axial anomaly in dimensional regularization, Phys. Lett. B 303 (1993) 113 [hep-ph/9302240] [INSPIRE].
J. Kodaira, QCD Higher Order Effects in Polarized Electroproduction: Flavor Singlet Coefficient Functions, Nucl. Phys. B 165 (1980) 129 [INSPIRE].
T. Ahmed, L. Chen and M. Czakon, Renormalization of the flavor-singlet axial-vector current and its anomaly in dimensional regularization, JHEP 05 (2021) 087 [arXiv:2101.09479] [INSPIRE].
S.L. Adler, Axial vector vertex in spinor electrodynamics, Phys. Rev. 177 (1969) 2426 [INSPIRE].
D. Espriu and R. Tarrach, Renormalization of the Axial Anomaly Operators, Z. Phys. C 16 (1982) 77 [INSPIRE].
P. Breitenlohner, D. Maison and K.S. Stelle, Anomalous Dimensions and the Adler-bardeen Theorem in Supersymmetric Yang-Mills Theories, Phys. Lett. B 134 (1984) 63 [INSPIRE].
M. Bos, Explicit calculation of the renormalized singlet axial anomaly, Nucl. Phys. B 404 (1993) 215 [hep-ph/9211319] [INSPIRE].
M. Lüscher and P. Weisz, Renormalization of the topological charge density in QCD with dimensional regularization, Eur. Phys. J. C 81 (2021) 519 [arXiv:2103.15440] [INSPIRE].
S. Catani, The singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].
G.F. Sterman and M.E. Tejeda-Yeomans, Multiloop amplitudes and resummation, Phys. Lett. B 552 (2003) 48 [hep-ph/0210130] [INSPIRE].
H. Frellesvig, D. Tommasini and C. Wever, On the reduction of generalized polylogarithms to Lin and Li2,2 and on the evaluation thereof, JHEP 03 (2016) 189 [arXiv:1601.02649] [INSPIRE].
A.V. Kotikov and L.N. Lipatov, DGLAP and BFKL evolution equations in the N = 4 supersymmetric gauge theory, in 35th Annual Winter School on Nuclear and Particle Physics, (2001) [hep-ph/0112346] [INSPIRE].
A.V. Kotikov, L.N. Lipatov, A.I. Onishchenko and V.N. Velizhanin, Three loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang-Mills model, Phys. Lett. B 595 (2004) 521 [Erratum ibid. 632 (2006) 754] [hep-th/0404092] [INSPIRE].
A.V. Kotikov and L.N. Lipatov, On the highest transcendentality in N = 4 SUSY, Nucl. Phys. B 769 (2007) 217 [hep-th/0611204] [INSPIRE].
P. Banerjee, A. Chakraborty, P.K. Dhani, V. Ravindran and S. Seth, Second order splitting functions and infrared safe cross sections in \( \mathcal{N} \) = 4 SYM theory, JHEP 04 (2019) 058 [arXiv:1810.07672] [INSPIRE].
T. Gehrmann, J.M. Henn and T. Huber, The three-loop form factor in N = 4 super Yang-Mills, JHEP 03 (2012) 101 [arXiv:1112.4524] [INSPIRE].
T. Ahmed, G. Das, P. Mathews, N. Rana and V. Ravindran, Spin-2 Form Factors at Three Loop in QCD, JHEP 12 (2015) 084 [arXiv:1508.05043] [INSPIRE].
T. Ahmed, P. Banerjee, P.K. Dhani, P. Mathews, N. Rana and V. Ravindran, Three loop form factors of a massive spin-2 particle with nonuniversal coupling, Phys. Rev. D 95 (2017) 034035 [arXiv:1612.00024] [INSPIRE].
A. Brandhuber, G. Travaglini and G. Yang, Analytic two-loop form factors in N = 4 SYM, JHEP 05 (2012) 082 [arXiv:1201.4170] [INSPIRE].
F. Loebbert, D. Nandan, C. Sieg, M. Wilhelm and G. Yang, On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders, JHEP 10 (2015) 012 [arXiv:1504.06323] [INSPIRE].
F. Loebbert, C. Sieg, M. Wilhelm and G. Yang, Two-Loop SL(2) Form Factors and Maximal Transcendentality, JHEP 12 (2016) 090 [arXiv:1610.06567] [INSPIRE].
P. Banerjee, P.K. Dhani, M. Mahakhud, V. Ravindran and S. Seth, Finite remainders of the Konishi at two loops in \( \mathcal{N} \) = 4 SYM, JHEP 05 (2017) 085 [arXiv:1612.00885] [INSPIRE].
P. Banerjee, P.K. Dhani and V. Ravindran, Two loop QCD corrections for the process Pseudo-scalar Higgs → 3 partons, JHEP 10 (2017) 067 [arXiv:1708.02387] [INSPIRE].
A. Brandhuber, M. Kostacinska, B. Penante and G. Travaglini, Higgs amplitudes from \( \mathcal{N} \) = 4 super Yang-Mills theory, Phys. Rev. Lett. 119 (2017) 161601 [arXiv:1707.09897] [INSPIRE].
Q. Jin and G. Yang, Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle, Phys. Rev. Lett. 121 (2018) 101603 [arXiv:1804.04653] [INSPIRE].
A. Brandhuber, M. Kostacinska, B. Penante and G. Travaglini, Tr(F3) supersymmetric form factors and maximal transcendentality Part I: \( \mathcal{N} \) = 4 super Yang-Mills, JHEP 12 (2018) 076 [arXiv:1804.05703] [INSPIRE].
Q. Jin and G. Yang, Hidden Analytic Relations for Two-Loop Higgs Amplitudes in QCD, Commun. Theor. Phys. 72 (2020) 065201 [arXiv:1904.07260] [INSPIRE].
Q. Jin and G. Yang, Two-Loop QCD Corrections to the Higgs plus three-parton amplitudes with Top Mass Correction, JHEP 02 (2020) 169 [arXiv:1910.09384] [INSPIRE].
L.J. Dixon, The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension, JHEP 01 (2018) 075 [arXiv:1712.07274] [INSPIRE].
A.V. Belitsky, S. Hohenegger, G.P. Korchemsky, E. Sokatchev and A. Zhiboedov, Energy-Energy Correlations in N = 4 Supersymmetric Yang-Mills Theory, Phys. Rev. Lett. 112 (2014) 071601 [arXiv:1311.6800] [INSPIRE].
T. Ahmed, G. Das, P. Mathews, N. Rana and V. Ravindran, The two-loop QCD correction to massive spin-2 resonance → \( q\overline{q}g \), Eur. Phys. J. C 76 (2016) 667 [arXiv:1608.05906] [INSPIRE].
T. Ahmed, M. Mahakhud, P. Mathews, N. Rana and V. Ravindran, Two-Loop QCD Correction to massive spin-2 resonance → 3 gluons, JHEP 05 (2014) 107 [arXiv:1404.0028] [INSPIRE].
T. Ahmed, P. Banerjee, A. Chakraborty, P.K. Dhani and V. Ravindran, The Curious Case of Leading Transcendentality: Three Point Form Factors, arXiv:1905.12770 [INSPIRE].
V. Del Duca, C. Duhr, R. Marzucca and B. Verbeek, The analytic structure and the transcendental weight of the BFKL ladder at NLL accuracy, JHEP 10 (2017) 001 [arXiv:1705.10163] [INSPIRE].
T. Ahmed and P.K. Dhani, Two-loop Doubly Massive Four-Point Amplitude Involving a half-BPS and Konishi Operator, JHEP 05 (2019) 066 [arXiv:1901.08086] [INSPIRE].
T. Ahmed, P. Banerjee, A. Chakraborty, P.K. Dhani and V. Ravindran, Form factors with two operator insertions and the principle of maximal transcendentality, Phys. Rev. D 102 (2020) 061701 [arXiv:1911.11886] [INSPIRE].
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Ahmed, T., Ravindran, V., Sankar, A. et al. Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD. J. High Energ. Phys. 2022, 189 (2022). https://doi.org/10.1007/JHEP01(2022)189
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DOI: https://doi.org/10.1007/JHEP01(2022)189